Niven Achenjang

activity

20182024

collaborators

5 papers

math.AG2024

On Brauer groups of tame stacks

Niven Achenjang

We develop some general tools for computing the Brauer group of a tame algebraic stack $X$ by studying the difference between it and the Brauer group of the coarse space $…

math.AG2023

The Brauer Group of $Y_{0} (2)$

Niven Achenjang, Deewang Bhamidipati, Aashraya Jha +2

We determine the Brauer group of the Deligne-Mumford stack $Y_{0} (2)$ , the moduli space of elliptic curves with a marked $2$ -torsion subgroup over bases of arithmetic inter…

math.NT2023

The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2

Niven Achenjang

Let $K$ be the function field of a smooth curve $B$ over a finite field $k$ of arbitrary characteristic. We prove that the average size of the $2$ -Selmer groups of elliptic curves…

math.NT2022

Integral points on varieties with infinite étale fundamental group

Niven T. Achenjang, Jackson S. Morrow

We study integral points on varieties with infinite étale fundamental groups. More precisely, for a number field $F$ and $X / F$ a smooth projective variety, we prove that for any ge…

math.NT2018

On Gaps in the Closures of Images of Divisor Functions

Niven Achenjang, Aaron Berger

Given a complex number $c$ , define the divisor function $σ_{c} : N \to C$ by $σ_{c} (n) = \sum_{d ∣ n} d^{c}$ . In this paper, we look at $σ_{- r} (N)$ , the top…

On Brauer groups of tame stacks

The Brauer Group of Y0​(2)

The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2

Integral points on varieties with infinite étale fundamental group

On Gaps in the Closures of Images of Divisor Functions

The Brauer Group of $Y_{0} (2)$